Question

part b
write an equation to represent the total number of laundry pods p used in t months.
part c
a bag contains 100 laundry pods. in what month will the last laundry pod be used? circle an answer choice from the list to make the statement true.
the last laundry pod will be used in the ____ month.
6th
7th
8th
9th
10th
part d
explain your answer to part c.

Explanation:

Step1: Use the equation from Part B

We have the equation \(p = 12t\) (assuming 12 pods are used per month). We want to find \(t\) when \(p=100\). So we set up the inequality \(12t\geq100\).

Step2: Solve the inequality for \(t\)

Divide both sides of \(12t\geq100\) by 12: \(t\geq\frac{100}{12}\approx8.33\).

for Part D:
Since \(t=\frac{100}{12}\approx8.33\), in the 8th month, \(12\times8 = 96\) pods will be used. There are \(100 - 96=4\) pods remaining. These remaining pods will be used in the 9th month.

Answer:

The last laundry pod will be used in the \(9\)th month.